Bai tap ngay 2 (22/10/2025)

Viec 1. doc du lieu

ob = read.csv("/Users/marianhnq/Desktop/Tap Huan NCKH/Obesity data.csv")

Viec 2. mo ta dac diem

library(table1)
## 
## Attaching package: 'table1'
## The following objects are masked from 'package:base':
## 
##     units, units<-
table1(~ age + gender + weight + height + pcfat + hypertension + diabetes, data = ob)
Overall
(N=1217)
age
Mean (SD) 47.2 (17.3)
Median [Min, Max] 48.0 [13.0, 88.0]
gender
F 862 (70.8%)
M 355 (29.2%)
weight
Mean (SD) 55.1 (9.40)
Median [Min, Max] 54.0 [34.0, 95.0]
height
Mean (SD) 157 (7.98)
Median [Min, Max] 155 [136, 185]
pcfat
Mean (SD) 31.6 (7.18)
Median [Min, Max] 32.4 [9.20, 48.4]
hypertension
Mean (SD) 0.507 (0.500)
Median [Min, Max] 1.00 [0, 1.00]
diabetes
Mean (SD) 0.111 (0.314)
Median [Min, Max] 0 [0, 1.00]

Viec 3. tao bien so dinh tinh

ob$hyper = as.factor(ob$hypertension)
ob$dm = as.factor(ob$diabetes)
table1(~ age + gender + weight + height + pcfat + hypertension + hyper + diabetes + dm, data = ob)
Overall
(N=1217)
age
Mean (SD) 47.2 (17.3)
Median [Min, Max] 48.0 [13.0, 88.0]
gender
F 862 (70.8%)
M 355 (29.2%)
weight
Mean (SD) 55.1 (9.40)
Median [Min, Max] 54.0 [34.0, 95.0]
height
Mean (SD) 157 (7.98)
Median [Min, Max] 155 [136, 185]
pcfat
Mean (SD) 31.6 (7.18)
Median [Min, Max] 32.4 [9.20, 48.4]
hypertension
Mean (SD) 0.507 (0.500)
Median [Min, Max] 1.00 [0, 1.00]
hyper
0 600 (49.3%)
1 617 (50.7%)
diabetes
Mean (SD) 0.111 (0.314)
Median [Min, Max] 0 [0, 1.00]
dm
0 1082 (88.9%)
1 135 (11.1%)

Viec 4. so sanh nam va nu

table1(~ age + weight + height + pcfat + hypertension + hyper + diabetes + dm | gender, data = ob)
F
(N=862)
M
(N=355)
Overall
(N=1217)
age
Mean (SD) 48.6 (16.4) 43.7 (18.8) 47.2 (17.3)
Median [Min, Max] 49.0 [14.0, 85.0] 44.0 [13.0, 88.0] 48.0 [13.0, 88.0]
weight
Mean (SD) 52.3 (7.72) 62.0 (9.59) 55.1 (9.40)
Median [Min, Max] 51.0 [34.0, 95.0] 62.0 [38.0, 95.0] 54.0 [34.0, 95.0]
height
Mean (SD) 153 (5.55) 165 (6.73) 157 (7.98)
Median [Min, Max] 153 [136, 170] 165 [146, 185] 155 [136, 185]
pcfat
Mean (SD) 34.7 (5.19) 24.2 (5.76) 31.6 (7.18)
Median [Min, Max] 34.7 [14.6, 48.4] 24.6 [9.20, 39.0] 32.4 [9.20, 48.4]
hypertension
Mean (SD) 0.501 (0.500) 0.521 (0.500) 0.507 (0.500)
Median [Min, Max] 1.00 [0, 1.00] 1.00 [0, 1.00] 1.00 [0, 1.00]
hyper
0 430 (49.9%) 170 (47.9%) 600 (49.3%)
1 432 (50.1%) 185 (52.1%) 617 (50.7%)
diabetes
Mean (SD) 0.118 (0.323) 0.0930 (0.291) 0.111 (0.314)
Median [Min, Max] 0 [0, 1.00] 0 [0, 1.00] 0 [0, 1.00]
dm
0 760 (88.2%) 322 (90.7%) 1082 (88.9%)
1 102 (11.8%) 33 (9.3%) 135 (11.1%)

Viec 5. danh gia khac biet giua nam va nu

library(compareGroups)
createTable(compareGroups(gender ~ age + weight + height + pcfat + hyper + dm, data = ob))
## 
## --------Summary descriptives table by 'gender'---------
## 
## ________________________________________ 
##             F           M      p.overall 
##           N=862       N=355              
## ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 
## age    48.6 (16.4) 43.7 (18.8)  <0.001   
## weight 52.3 (7.72) 62.0 (9.59)  <0.001   
## height 153 (5.55)  165 (6.73)   <0.001   
## pcfat  34.7 (5.19) 24.2 (5.76)  <0.001   
## hyper:                           0.569   
##     0  430 (49.9%) 170 (47.9%)           
##     1  432 (50.1%) 185 (52.1%)           
## dm:                              0.238   
##     0  760 (88.2%) 322 (90.7%)           
##     1  102 (11.8%) 33 (9.30%)            
## ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Viec 2.1. du lieu tai trong

A = c(14, 4, 10, 6, 3, 11, 12)
B = c(16, 17, 13, 12, 7, 16, 11, 8, 7)

wt = c(A, B)
group = c(rep("A", 7), rep("B", 9))
df = data.frame(wt, group)
dim(df)
## [1] 16  2

Viec 2.2. danh gia phan bo

library(lessR)
## 
## lessR 4.4.5                         feedback: gerbing@pdx.edu 
## --------------------------------------------------------------
## > d <- Read("")  Read data file, many formats available, e.g., Excel
##   d is default data frame, data= in analysis routines optional
## 
## Many examples of reading, writing, and manipulating data, 
## graphics, testing means and proportions, regression, factor analysis,
## customization, forecasting, and aggregation from pivot tables
##   Enter: browseVignettes("lessR")
## 
## View lessR updates, now including time series forecasting
##   Enter: news(package="lessR")
## 
## Interactive data analysis
##   Enter: interact()
## 
## Attaching package: 'lessR'
## The following object is masked from 'package:table1':
## 
##     label
Histogram(wt, data = df)
## >>> Note: wt is not in a data frame (table)
## >>> Note: wt is not in a data frame (table)

## >>> Suggestions 
## bin_width: set the width of each bin 
## bin_start: set the start of the first bin 
## bin_end: set the end of the last bin 
## Histogram(wt, density=TRUE)  # smoothed curve + histogram 
## Plot(wt)  # Violin/Box/Scatterplot (VBS) plot 
## 
## --- wt --- 
##  
##      n   miss     mean       sd      min      mdn      max 
##      16      0    10.44     4.29     3.00    11.00    17.00 
##  
## 
## No (Box plot) outliers 
## 
## 
## Bin Width: 2 
## Number of Bins: 8 
##  
##      Bin  Midpnt  Count    Prop  Cumul.c  Cumul.p 
## ------------------------------------------------- 
##   2 >  4       3      2    0.12        2     0.12 
##   4 >  6       5      1    0.06        3     0.19 
##   6 >  8       7      3    0.19        6     0.38 
##   8 > 10       9      1    0.06        7     0.44 
##  10 > 12      11      4    0.25       11     0.69 
##  12 > 14      13      2    0.12       13     0.81 
##  14 > 16      15      2    0.12       15     0.94 
##  16 > 18      17      1    0.06       16     1.00 
## 
shapiro.test(df$wt)
## 
##  Shapiro-Wilk normality test
## 
## data:  df$wt
## W = 0.96213, p-value = 0.7006

Viec 2.3. mo ta dac diem tai trong

library(table1)
table1(~ wt | group, data = df, render.continuous = c(. = "Mean (SD)", . = "Median [Q1, Q3]"))
A
(N=7)
B
(N=9)
Overall
(N=16)
wt
Mean (SD) 8.57 (4.24) 11.9 (3.95) 10.4 (4.29)
Median [Q1, Q3] 10.0 [5.00, 11.5] 12.0 [8.00, 16.0] 11.0 [7.00, 13.3]

Viec 2.4. thuc hien phep kiem t

t.test(A, B)
## 
##  Welch Two Sample t-test
## 
## data:  A and B
## t = -1.6, df = 12.554, p-value = 0.1345
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -7.813114  1.178194
## sample estimates:
## mean of x mean of y 
##  8.571429 11.888889
t.test(wt ~ group, data = df)
## 
##  Welch Two Sample t-test
## 
## data:  wt by group
## t = -1.6, df = 12.554, p-value = 0.1345
## alternative hypothesis: true difference in means between group A and group B is not equal to 0
## 95 percent confidence interval:
##  -7.813114  1.178194
## sample estimates:
## mean in group A mean in group B 
##        8.571429       11.888889

Viec 2.5. thuc hien bootstrap

library(simpleboot)
## Simple Bootstrap Routines (1.1-8)
library(boot)
b = two.boot(A, B, mean, R = 1000)
boot.ci(b)
## BOOTSTRAP CONFIDENCE INTERVAL CALCULATIONS
## Based on 1000 bootstrap replicates
## 
## CALL : 
## boot.ci(boot.out = b)
## 
## Intervals : 
## Level      Normal              Basic         
## 95%   (-7.057,  0.529 )   (-7.125,  0.317 )  
## 
## Level     Percentile            BCa          
## 95%   (-6.952,  0.490 )   (-6.795,  0.647 )  
## Calculations and Intervals on Original Scale
hist(b, breaks = 50)

Viec 2.6. su dung ChatGPT

# Cài gói boot nếu chưa có
# install.packages("boot")

# Nạp gói
library(boot)

# Dữ liệu hai nhóm
A <- c(14, 4, 10, 6, 3, 11, 12)
B <- c(16, 17, 13, 12, 7, 16, 11, 8, 7)

# Hàm tiện ích để tạo chỉ số bootstrap riêng cho mỗi nhóm
boot_2groups <- function(A, B, R = 2000) {
  nA <- length(A)
  nB <- length(B)
  boot_values <- numeric(R)
  for (i in 1:R) {
    idxA <- sample(1:nA, nA, replace = TRUE)
    idxB <- sample(1:nB, nB, replace = TRUE)
    boot_values[i] <- mean(A[idxA]) - mean(B[idxB])
  }
  return(boot_values)
}

# Chạy bootstrap
set.seed(123)
boot_values <- boot_2groups(A, B, R = 2000)

# Ước lượng hiệu trung bình ban đầu
diff_estimate <- mean(A) - mean(B)
diff_estimate
## [1] -3.31746
# Tạo đối tượng boot để dùng hàm boot.ci
boot_obj <- boot(data = list(A = A, B = B),
                 statistic = function(data, i) {
                   idxA <- sample(1:length(data$A), length(data$A), replace = TRUE)
                   idxB <- sample(1:length(data$B), length(data$B), replace = TRUE)
                   mean(data$A[idxA]) - mean(data$B[idxB])
                 },
                 R = 2000)

# Xem kết quả bootstrap và khoảng tin cậy
boot_obj
## 
## ORDINARY NONPARAMETRIC BOOTSTRAP
## 
## 
## Call:
## boot(data = list(A = A, B = B), statistic = function(data, i) {
##     idxA <- sample(1:length(data$A), length(data$A), replace = TRUE)
##     idxB <- sample(1:length(data$B), length(data$B), replace = TRUE)
##     mean(data$A[idxA]) - mean(data$B[idxB])
## }, R = 2000)
## 
## 
## Bootstrap Statistics :
##      original    bias    std. error
## t1* 0.1746032 -3.404722    1.901877
boot.ci(boot_obj, conf = 0.95, type = c("norm", "basic", "perc", "bca"))
## BOOTSTRAP CONFIDENCE INTERVAL CALCULATIONS
## Based on 2000 bootstrap replicates
## 
## CALL : 
## boot.ci(boot.out = boot_obj, conf = 0.95, type = c("norm", "basic", 
##     "perc", "bca"))
## 
## Intervals : 
## Level      Normal              Basic         
## 95%   (-0.1483,  7.3069 )   (-0.0635,  7.3333 )  
## 
## Level     Percentile            BCa          
## 95%   (-6.9841,  0.4127 )   (-0.2647,  2.6032 )  
## Calculations and Intervals on Original Scale
## Warning : BCa Intervals used Extreme Quantiles
## Some BCa intervals may be unstable